On the $L^p$ boundedness of the non-centered Gaussian Hardy-Littlewood maximal function

DOI10.1090/S0002-9939-01-06156-1zbMath0991.42012MaRDI QIDQ2750889

Peter Sjögren, Liliana Forzani, Roberto Scotto, Wilfredo O. Urbina R.

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier analysisGaussian measurenon-centered maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Stochastic analysis (60H99) Real-valued functions on manifolds (58C05)

Related Items

Weak type \((1,1)\) of some operators for the Laplacian with drift, Hardy-Littlewood maximal functions for measure on cusped manifolds., Hardy-Littlewood maximal operator on variable Lebesgue spaces with respect to a probability measure, On the maximal operator associated with certain rotational invariant measures, Tent Spaces over Metric Measure Spaces under Doubling and Related Assumptions, On non-centered maximal operators related to a non-doubling and non-radial exponential measure, The weak type \((1,1)\) bounds for the maximal function associated to cubes grow to infinity with the dimension, Sharp estimates for the non-centered maximal operator associated to Gaussian and other radial measures., Inequalities for fractional integral operators on different metric measure spaces., A note on Gaussian maximal functions, A remark on the maximal operator for radial measures, Ornstein–Uhlenbeck operators and semigroups, New Gaussian Riesz transforms on variable Lebesgue spaces

Cites Work

• Sharp estimates for the non-centered maximal operator associated to Gaussian and other radial measures.
• A Remark on the Maximal Function for Measures in R n
• On the maximal function for rotation invariant measures in $ℝ^{n}$
• Poisson Integrals for Hermite and Laguerre Expansions